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Finding the Fourth Proportional to 2,333.06, 3,498.60 and 871.19

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Solution

The fourth proportional to 2,333.06, 3,498.60 and 871.19 is: 1,306.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.06 : 3,498.60 = 871.19 : x
  2. Step 2: Convert to fraction form
    2,333.06/3,498.60 = 871.19/x
  3. Step 3: Cross multiply
    2,333.06x = 3,498.60 × 871.19
  4. Step 4: Simplify right side
    2,333.06x = 3,047,945.33
  5. Step 5: Solve for x
    x = 3,047,945.33/2,333.06
  6. Step 6: Final answer
    x = 1,306.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.